Colin de Verdière, Yves The spectrum of the Laplacian: Partial survey since Berger-Gauduchon-Mazet and problems. (Le spectre du laplacien: Survol partiel depuis le Berger-Gauduchon-Mazet et problèmes.) (French) Zbl 0884.58095 Besse, Arthur L. (ed.), Actes de la table ronde de géométrie différentielle en l’honneur de Marcel Berger, Luminy, France, 12–18 juillet, 1992. Paris: Société Mathématique de France. Sémin. Congr. 1, 233-252 (1996). The author presents some results obtained since the 70’s on the direct and inverse problem for the spectrum of the Laplacian on a compact Riemannian manifold. Also its connections with closed geodesics, graphs and planar electrical nets are nicely pointed out.For the entire collection see [Zbl 0859.00016]. Reviewer: M.Puta (Timişoara) Cited in 2 Documents MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 05C99 Graph theory Keywords:spectrum; Laplacian; closed geodesics; graphs; planar electrical nets PDFBibTeX XMLCite \textit{Y. Colin de Verdière}, Sémin. Congr. 1, 233--252 (1996; Zbl 0884.58095)